Everton went second with a 2-1 victory at Bolton Wanderers thanks to a last-minute winner from Joleon Lescott.
Liverpool came within a point in the battle for third after they drew 0-0 at Aston Villa.
Manchester City won an unprecedented fourth straight English top flight title with a 3-1 win over West Ham United.
Arsenal claimed their first Premier League win at Everton for six years as Leandro Trossard's second-half strike proved enough to secure the points at Goodison Park on Sunday.
Champions Manchester City have won their last 10 home league matches scoring a total of 36 goals.
Everton have agreed to sign Barcelona's Colombia centre back Yerry Mina for an initial 30.25 million euros ($34.97 million) and have also taken the club's midfielder Andre Gomes on loan, the Spanish champions said on Thursday.
While England boast a formidable attacking threat, there are concerns about their defence which is perhaps why Southgate is prepared to look at new candidates before he has to make his final call for the tournament.
Ashley Williams powered home a towering header in the 86th minute as Everton fought back to claim a 2-1 win over Arsenal as the title hopefuls blew the chance to return to the Premier League summit.
IMAGES from the English Premier League matches played on Saturday.
Robin van Persie could return from injury for Manchester United's Premier League game with Everton on Wednesday, manager David Moyes said on Tuesday.
Chelsea took a major step towards the Premier League title with an impressive 3-0 win over Everton at Goodison Park on Sunday.
Phil Foden struck twice as Manchester City stepped up their bid for a fourth Premier League crown in a row with a ruthless 4-0 victory at Brighton & Hove Albion on Thursday.
Carlos Tevez made his peace with Manchester City but failed to guide them to top spot in the Premier League as they lost 2-1 at home to Everton on Monday.
Holders Manchester City beat Chelsea 1-0 with a late Bernardo Silva goal on Saturday to reach the FA Cup final after an absorbing end-to-end Wembley semi-final left the exhausted winners still chasing a domestic double.
Manchester City took another decisive step toward an unprecedented fourth successive Premier League title with a 4-0 demolition of Fulham.
Everton's Romelu Lukaku spared his side a fifth straight defeat by snatching an added-time equaliser to salvage a 1-1 home draw with West Ham United in the FA Cup third round on Tuesday.
News of all that's transpired on and off the football field
Liverpool remained in second place behind Manchester United in the Premier League after a Tim Cahill goal three minutes from time earned Everton a 1-1 draw.
Everton defender Phil Jagielka has been ruled out of England's friendly against Denmark next week with a hamstring injury, his club manager Roberto Martinez said on Thursday.
Gerard Delofeu's late goal earned Everton a deserved 1-1 draw at Premier League leaders Arsenal on Sunday after Mesut Ozil's strike seemed set to seal three points for the home side.
Manchester United's top-four aspirations suffered a setback as Louis van Gaal's side were blown away 3-0 by Everton.
Wayne Rooney's Everton homecoming ended in a 1-0 win over Slovak side Ruzomberok with the former Manchester United striker having a quiet return to Goodison Park in the Europa League, third qualifying round, first-leg on Thursday.
Just as the umpire's decision is no longer final, what is disdainfully rejected is the age-old dictum that the game should be played and watched in the spirit of the game, sighs Uddalok Bhattacharya.
Granit Xhaka hammered two goals in what is expected to be his last game as Arsenal clinched a 5-o win over Wolves.
Chelsea found no chink in Everton's defensive armour as the Premier League champions were held to a frustrating 0-0 draw at Goodison Park on Saturday.
News of all that's transpired on and off the football field.
IMAGES from the Premier League matches played on Saturday
Wolverhampton Wanderers stunned Tottenham Hotspur 2-1 with stoppage-time goals from Pablo Sarabia and Mario Lemina on Saturday, thwarting the visitors in their bid to reclaim top spot in the Premier League table.
Manchester United manager in waiting David Moyes said he had not expected to be leaving Everton after 11 years in charge and had already begin planning for next season when the Old Trafford giants came calling this week.
Images from the English Premier League matches played on Saturday.
Arsenal's victory ended a run of three successive defeats in all competitions and put them level on 43 points with Aston Villa and champions Manchester City. Arsenal's goal difference is superior to Villa's but worse than City's.
Manchester United climbed back up to second in the table after second-half goals by Anthony Martial and Jesse Lingard earned a 2-0 victory at Everton -- their first win in five games in all competitions.
Aaron Ramsey scored a hat-trick on Saturday as Arsenal thrashed Everton 5-1 in the Premier League at the Emirates with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
Third-placed Leicester go to Hodgson's sixth-placed Crystal Palace on Sunday
Manchester United have lost 11 of their 27 league matches this campaign, two more than all of last season. The two previous seasons with 12 league losses (2013-14 and 2021-22) led to managerial changes.
IMAGES from the English Premier League matches played on Saturday.
Manchester City moved four points clear of Arsenal atop the Premier League table with an 11th consecutive victory.
The battle for Champions League qualification continues with fourth-placed Aston Villa away to Luton Town on Saturday and Tottenham Hotspur, who are five points behind with a game in hand, hosting Crystal Palace.
Sunny Singh Gill was standing at the proverbial career crossroads one year ago. He had the option to continue as a prison officer or concentrate on carrying forward his family's rich footballing legacy by chasing his refereeing dream.